# - Geometry

Output procedure Comments: Default First new First old   0 Shurik 10/31/2018 left a comment:

The height of the triangle is perpendicular, conducted from the vertex of the triangle to a straight line containing the opposite direction. The triangle has three heights.  0 El_storm 10/31/2018 left a comment:

Perpendicular, conducted from the vertex of the triangle to a straight line containing the opposite side, is called a triangle height. The triangle has 3 heights.  0 Biz-ledy. 11/20/2018 left a comment:

The height of the triangle, lowered from this vertex, is called a perpendicular, conducted from this vertex to a straight line, which contains an opposing side of the triangle (Fig. 51, A-b). The triangle has 3 heights.

Unlike median or biscomers, the height of the triangle can be located both inside the triangle and outside it.

Definition.

The height of the triangle is called perpendicular, carried out from the vertex of the triangle to a direct containing the opposite side. In Figure BF, the height conducted from the vertex b to the AC side.

All three heights of the triangle intersect at one point. This point is called the orto triangle. The height of the acute triangle is located strictly inside the triangle.

Accordingly, the height intersection point is also inside the triangle.

In a rectangular triangle, two heights coincide with the parties. (These are heights carried out from the tops of sharp corners to categories).

The height conducted to the hypotenuse lies inside the triangle (later consider its properties). AC - height conducted from the top with the side of the AB.

AB - height conducted from the top B to the AC side.

AK - height conducted from the vertex of direct angle A to the Hypotenuz Sun.

The heights of the rectangular triangle intersect in the vertex of the direct angle (A - Orthocentre).

In the stupid triangle inside the triangle lies only one height is the one, which is carried out from the top of the stupid angle.

Two other heights lie outside the triangle and omitted to the continuation of the sides of the triangle. AK - height conducted to the side of the BC.

BF - height conducted to continue the side of the AU.

CD - height conducted to continue the AB side.

The point of intersection of the heights of the stupid triangle is also outside the triangle: H is an ABC triangle orthocenter.